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Finding the Fourth Proportional to 4,930, 7,390.86 and 2,010.40

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Solution

The fourth proportional to 4,930, 7,390.86 and 2,010.40 is: 3,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 7,390.86 = 2,010.40 : x
  2. Step 2: Convert to fraction form
    4,930/7,390.86 = 2,010.40/x
  3. Step 3: Cross multiply
    4,930x = 7,390.86 × 2,010.40
  4. Step 4: Simplify right side
    4,930x = 14,858,584.94
  5. Step 5: Solve for x
    x = 14,858,584.94/4,930
  6. Step 6: Final answer
    x = 3,013.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.